in what time will rupee 2,00,000 amount to rupee 2,31,525 at rate of 5 percent per annum ,interest being compounded annually.
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ANSWER
P=Rs.2,00,000
Number of conversion period (n)=1
1 ×2=3
Amount(A)
=Rs.2,31,525
We know that A 3
=P(1+i) 3
2,31,525=2,00,000(1+i)
3
2,31,525/2,00,000=(1+i)
3
1.157625=(1+i)
3
(1.05) 3
=(1+i) 3
i=0.05
i is the Interest rate per conversion period (six months) =0.05=5% and Interest rate per annum =5% ×2=10%.
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